This book presents a string-theoretic approach to new ideas in particle physics, also known as Physics Beyond the Standard Model, and to cosmology. The concept of Naturalness and its apparent violation by the low electroweak scale and the small cosmological constant is emphasize…
A short introduction to the algebra, geometry, number theory and physics of moonshine -- Modified elliptic genus -- Superconformal indices and instanton partition functions -- On spinorial representations of involutory subalgebras of Kac-Moody algebras -- BPS spectra and invaria…
Quantum physicist, New York Times bestselling author, and BBC host Jim Al-Khalili offers a fascinating and illuminating look at what physics reveals about the world Shining a light on the most profound insights revealed by modern physics, Jim Al-Khalili invites us all to underst…
Monte Carlo Method for Integration -- Monte Carlo with Importance Sampling -- Markov Chains -- Markov Chain Monte Carlo -- MCMC and Feynman Path Integrals -- Reliability of Simulations -- Hybrid (Hamiltonian) Monte Carlo -- MCMC and Quantum Field Theories on a Lattice -- Machine…
String theory is one of the most active branches of theoretical physics and has the potential to provide a unified description of all known particles and interactions. This book is a systematic introduction to the subject, focused on the detailed description of how string theory…
This thesis exhibits a range of applications of combinatoric methods to string theory. The concepts and techniques used in the counting of ribbon graphs, the theory of finite groups, and the construction of cell complexes can give powerful methods and interesting insights into t…
We explore dualities and solution-generating transformations in various contexts. Our focus is on the T-duality invariant form of supergravity known as double fi eld theory, the SL(5)-invariant M-theory extended geometry, and metrics dual under the fluid/gravity correspondence t…
In an introductory chapter, a summary of the construction of string theories is given, for both the bosonic string and the RNS superstring. Relevant mathematical technology is introduced, including super-Riemann surfaces. Conformal field theory is discussed and BRST quantization…
There has been great progress in recent years in the understanding of the mathematical structure of scattering amplitudes in Quantum Field Theory as well as the development of powerful methods for their calculation, particularly in the arena of N = 4 Super Yang-Mills where hidde…
In the past few years, on-shell analytic methods have played a pivotal role in gauge theory calculations. Since the initial success of these methods in Standard Model physics, considerable activity has led to development and application in supersymmetric gauge theories. In parti…